MIT grad shows how to use the elimination method to solve a system of linear equations (aka. simultaneous equations). To skip ahead: 1) For a BASIC example where terms cancel right away when you add the equations, skip to 0:25. 2) For an example in which you have to MULTIPLY ONE EQUATION by a number before adding the equations, skip to time 6:26. 3) For an example in which you have to MULTIPLY BOTH EQUATIONS by numbers before adding, skip to 12:12. P.S.) For HOW TO SUBTRACT equations instead of adding them, if you'd rather do that, skip to 18:00. Nancy formerly of MathBFF explains the steps.

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For how to solve a system of linear equations by the SUBSTITUTION METHOD, jump to: https://youtu.be/YriMMWbndn0

What does it mean to solve a system of equations using the elimination method? It means to solve for the x and y values that make both equations true, using the elimination method. Elimination is just one way of solving (substitution is another way) and is sometimes called linear combination. Here's how:

1) BASIC ELIMINATION: First, make sure the equations are ordered in the same way, with their like terms lined up vertically. Then, try adding the equations (vertically) to make a new equation. If a term in the first equation has the same number coefficient but opposite sign (like 5y and -5y), then adding the equations will mean that those terms cancel. Since those terms disappear (in the example, 5y and -5y), there is just the variable x left in the equation so you can solve for x. Once you solve for x, you can take that number and plug it in for x in either of the original equations in the system, to solve for the other variable, y. The (x,y) pair is your solution.

2) MULTIPLY ONE EQUATION BEFORE ADDING: Sometimes terms don't immediately cancel when you add the two equations. What do you do then? Try multiplying one of the equations by a number (both the left and right sides) to make either the x terms or y terms have similar coefficients (but opposite sign), like positive 4x and negative 4x. Then add the two equations (the new version) and follow the same steps as in the first example.

3) MULTIPLY BOTH EQUATIONS BEFORE ADDING: If it does not help to just multiply one equation by a number, you may need to multiply both equations, separately, by numbers. If you check to see whether you can just multiply one equation by a number and add opposite terms/eliminate a variable, and it is not possible, then aim for an LCM, or least common multiple, by multiplying each equation by a different number, and then adding the equations.

P.S.) YES, YOU CAN SUBTRACT INSTEAD (if you want): If you have a system that has the exact same x terms or exact same y terms in both equations, if you prefer, you can just subtract the equations. Alternatively, if you still wanted to add the equations, you could just multiply one of the equations by -1 first and then add the equations and solve normally.

IMPORTANT: If you get something like 0 = 0 or 8 = 8, or something like 1 = 2 or 0 = 21 when you are following these steps and trying to solve, then you have probably found a special case. If you get something TRUE like 0 = 0 (a number equals the same number), then there are an infinite number of solutions to the system, and you can just write "infinitely-many solutions". If instead you get something FALSE like 0 = 21, then there is no solution (inconsistent system), and you can write "no solution".

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In this video I show you how to solve equations involving surds. Surd equations have a square root in them and the method we use to solve these is to isolate the square root and then square both sides. This may need to be done a number of times depending on how many surds are in the equation.

Credits:
Kevin MacLeod: Carefree
https://incompetech.com/

👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be equal in all the equations that make up the system, in order to eliminate the variable using subtraction (or addition as the case may be). The coefficients can be made equal by multiplying the entire equation with a number which when multiplied to the coefficient of the variable to be eliminated gives the LCM of the coefficients of the variable to be eliminated in all the equations. Then we solve for the remaining variable(s).

After we have obtained the solution{s} for the remaining variable(s), we substitute the obtained solution into any of the original equations to obtain the solution of the eliminated variable.

✅ Solve a System of Three Equations - https://youtu.be/nLar40Dd_Us

00:00 intro
1:44 Multiply each equation
2:30 Add both equations
2:53 Solve for y

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Organized Videos:
✅Solve a System of Equations Algebraically
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve a System of Equations Using Substitution | Easy
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve a System of Equations Using Substitution | Hard
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve a System of Equations Using Substitution | Learn About
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve a System of Equations Using Elimination | Learn About
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve a System of Equations Using Elimination | Easy
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve a System of Equations Using Elimination | Medium
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve a System of Equations Using Elimination | Hard
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve a System of Equations Word Problem
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅Solve a System of Equations With Three Variables
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM

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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#Systemofequations #Algebraically #brianmclogan

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/cc-sixth-grade-ma

Remember that what you do to one side, you have to do to the other. Will you multiply or divide both sides to dump the fraction, x/a? Let's do it together.

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/solving-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Missed the previous lesson?
https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/simple-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

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👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one of the ways is by multiplying all the individual rational expressions by the lowest common multiply (LCM) of the denominators. This eliminates the denominators and then we can evaluate the resulting equation accordingly.

It is very helpful to check your results by substituting them into the original equation to see if they are true. This also helps to identify the extraneous solutions. An extraneous solution is a solution that is obtained during the course of solving an equation but which does not hold true for the original equation.

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Organized Videos:
✅ How to Solve Rational Equations
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅ How to Solve Rational Equations with Trinomials
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅ How to Solve Rational Equations with Binomials
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅ How to Solve Rational Equations with Monomials
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅ How to Solve Rational Equations with an Integer
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅ How to Solve Rational Equations | Learn About
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅ How to Solve Proportions with Binomials
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM
✅ How to Solve Proportions with Trinomials
https://www.youtube.com/playli....st?list=PL0G-Nd0V5ZM

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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#rationalfunctions #brianmclogan

#shorts

This algebra video tutorial explains how to solve systems of equations by graphing. The solution is the point of intersection of the two graphs.

Systems of Linear Equations - 2 Variables: https://www.youtube.com/watch?v=oKqtgz2eo-Y

Systems of Equations - Fractions & Decimals:
https://www.youtube.com/watch?v=jlddJQ1qYDU

One Solution, No Solution or Many Solutions?
https://www.youtube.com/watch?v=bq5gDsEdN3Q

Systems of Equations - Substitution Method:
https://www.youtube.com/watch?v=cblHUeq3bkE

Solving Systems of Equations By Graphing:
https://www.youtube.com/watch?v=Pd4hwS8qHms

________________________________________
Systems of Linear Equations - 3 Variables:
https://www.youtube.com/watch?v=0JQeo0yC9OQ

Systems of Equations - Word Problems:
https://www.youtube.com/watch?v=YgtidDkjJ9M

Systems of Quadratic Equations:
https://www.youtube.com/watch?v=rq5AjFs95qw

Systems of Nonlinear Equations:
https://www.youtube.com/watch?v=JPdLEaxlnZQ

________________________________________
Final Exams and Video Playlists:
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Solve algebra equations easily with no problem - OK, maybe in about 7 seconds! This fast math trick for instant calculation will have you correctly answering algebraic equations - even beginners!

To donate to the tecmath channel:https://paypal.me/tecmath

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This video is about Linear equation like linear equation in one variable, linear equation in two variables and one degree equation. Also, I will teach you the easy to solve any linear equation.

1. Linear Equations in Two Variables:
https://youtu.be/lJ0rYl0w8tg

2. Solving Linear Equations:
https://youtu.be/iL8yL6Cb3cM

3. Graphing Linear Equations in two variables:
https://youtu.be/97gb4Snyw5A

4. Complete playlist of Linear Equations:
https://youtube.com/playlist?l....ist=PL3GBdsS--0-Tdxe


#LinearEquation
#SolvingLinearEquations

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Solve linear algebra equations with variables on both sides easily with no problems (Ok we all make mistakes!) This fast math tutorial for rapid calculation will have you correctly solving linear equations with variables on both sides....even if you've never seen them before!

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En ligning med to ukjente har uendelig mange løsninger. Har vi derimot to ligninger, så kan vi finne ut hva de ukjente er. Dette kan gjøres på flere måter, og her får du se hvordan man løser et ligningssett med to ukjente grafisk. Hver likning gjør vi da om til funksjonsuttrykk og tegner grafene til disse inn i et koordinatsystem.
Se flere mattefilmer med Tom Olav her: https://www.nrk.no/skole/?page=search&q=matteskolen

Ved lige store koefficienters metode

Se hele samlingen af matematikvideoer på
https://sites.google.com/rissk....ov-gym.dk/michaels-m

Se desuden
http://michaelgrankvist.dk/

Knæk ligningerne. Peter skal løse en ligning, og han går igennem det skridt for skridt.
Det forudsættes, at du kender regnearternes rækkefølge og grundlæggende arimetik.

Løsning af ligninger med en ubekendt og lidt af nulreglen

Natalie fra 6. Klasse viser ligninger

Side 2 i 7.klasse matematik om ligninger

5. Klasse viser hvordan man reducere ligninger